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Global brain activity self-organizes into discrete patterns characterized by distinct behavioral observables and modes of information processing. The human thalamocortical system is a densely connected network where local neural activation…

The relation between large-scale brain structure and function is an outstanding open problem in neuroscience. We approach this problem by studying the dynamical regime under which realistic spatio-temporal patterns of brain activity emerge…

Neurons and Cognition · Quantitative Biology 2014-05-27 Ariel Haimovici , Enzo Tagliazucchi , Pablo Balenzuela , Dante R. Chialvo

Characterizing functional brain networks in humans during magnetophosphene perception. Dense electroencephalography (EEG, 128 channels) was performed in N=3 volunteers during high-level (50 mT) magnetic field (MF) exposure. Functional brain…

Neurons and Cognition · Quantitative Biology 2018-03-02 Julien Modolo , Mahmoud Hassan , Alexandre Legros

Tensor network states and methods have erupted in recent years. Originally developed in the context of condensed matter physics and based on renormalization group ideas, tensor networks lived a revival thanks to quantum information theory…

Strongly Correlated Electrons · Physics 2019-09-12 Roman Orus

Graph neural networks (GNNs) have demonstrated success in learning representations of brain graphs derived from functional magnetic resonance imaging (fMRI) data. However, existing GNN methods assume brain graphs are static over time and…

Machine Learning · Computer Science 2023-07-11 Alexander Campbell , Antonio Giuliano Zippo , Luca Passamonti , Nicola Toschi , Pietro Lio

Large-scale Dynamic Networks (LDNs) are becoming increasingly important in the Internet age, yet the dynamic nature of these networks captures the evolution of the network structure and how edge weights change over time, posing unique…

Machine Learning · Computer Science 2023-04-19 Qu Wang

Developing reliable methods to discriminate different transient brain states that change over time is a key neuroscientific challenge in brain imaging studies. Topological data analysis (TDA), a novel framework based on algebraic topology,…

Neurons and Cognition · Quantitative Biology 2023-12-19 Moo K. Chung , Soumya Das , Hernando Ombao

Converging evidence indicates that the heterogeneity of cognitive profiles may arise through detectable alternations in brain functions. Particularly, brain functional connectivity, measured under resting and cognitive states, characterizes…

Applications · Statistics 2023-02-22 Tianqi Chen , Chichun Tan , Hongyu Zhao , Todd Constable , Sarah Yip , Yize Zhao

Driver drowsiness is one of main factors leading to road fatalities and hazards in the transportation industry. Electroencephalography (EEG) has been considered as one of the best physiological signals to detect drivers drowsy states, since…

Signal Processing · Electrical Eng. & Systems 2021-06-02 Jian Cui , Zirui Lan , Yisi Liu , Ruilin Li , Fan Li , Olga Sourina , Wolfgang Mueller-Wittig

Diagnosing epilepsy requires accurate seizure detection and classification, but traditional manual EEG signal analysis is resource-intensive. Meanwhile, automated algorithms often overlook EEG's geometric and semantic properties critical…

Signal Processing · Electrical Eng. & Systems 2024-05-17 Arash Hajisafi , Haowen Lin , Yao-Yi Chiang , Cyrus Shahabi

Brain network discovery aims to find nodes and edges from the spatio-temporal signals obtained by neuroimaging data, such as fMRI scans of human brains. Existing methods tend to derive representative or average brain networks, assuming…

Machine Learning · Computer Science 2023-11-07 Hang Yin , Yao Su , Xinyue Liu , Thomas Hartvigsen , Yanhua Li , Xiangnan Kong

The available evidence suggests that dynamic functional connectivity (dFC) can capture time-varying abnormalities in brain activity in resting-state cerebral functional magnetic resonance imaging (rs-fMRI) data and has a natural advantage…

Neurons and Cognition · Quantitative Biology 2023-09-13 Cheng Zhu , Ying Tan , Shuqi Yang , Jiaqing Miao , Jiayi Zhu , Huan Huang , Dezhong Yao , Cheng Luo

Brainwave signals are read through Electroencephalogram (EEG) devices. These signals are generated from an active brain based on brain activities and thoughts. The classification of brainwave signals is a challenging task due to its…

Signal Processing · Electrical Eng. & Systems 2020-02-18 Zhyar Rzgar K. Rostam , Sozan Abdullah Mahmood

Tensor decomposition methods are widely used for model compression and fast inference in convolutional neural networks (CNNs). Although many decompositions are conceivable, only CP decomposition and a few others have been applied in…

Machine Learning · Computer Science 2019-11-28 Kohei Hayashi , Taiki Yamaguchi , Yohei Sugawara , Shin-ichi Maeda

The functional and structural representation of the brain as a complex network is marked by the fact that the comparison of noisy and intrinsically correlated high-dimensional structures between experimental conditions or groups shuns…

Neurons and Cognition · Quantitative Biology 2013-10-25 Tommaso Furlanello , Marco Cristoforetti , Cesare Furlanello , Giuseppe Jurman

Electroencephalography (EEG) monitors ---by either intrusive or noninvasive electrodes--- time and frequency variations and spectral content of voltage fluctuations or waves, known as brain rhythms, which in some way uncover activity during…

Neurons and Cognition · Quantitative Biology 2019-03-13 Javier A. Galadí , Joaquín J. Torres , J. Marro

Understanding the human brain remains the Holy Grail in biomedical science, and arguably in all of the sciences. Our brains represent the most complex systems in the world (and some contend the universe) comprising nearly one hundred…

Quantitative Methods · Quantitative Biology 2016-02-03 Sean L. Simpson , Paul J. Laurienti

We exploit altered patterns in brain functional connectivity as features for automatic discriminative analysis of neuropsychiatric patients. Deep learning methods have been introduced to functional network classification only very recently…

Machine Learning · Computer Science 2020-04-27 Chun-Ren Phang , Chee-Ming Ting , Fuad Noman , Hernando Ombao

Invariant theory is concerned with functions that do not change under the action of a given group. Here we communicate an approach based on tensor networks to represent polynomial local unitary invariants of quantum states. This graphical…

Quantum Physics · Physics 2013-11-13 Jacob Biamonte , Ville Bergholm , Marco Lanzagorta

Neuronal networks constitute a special class of dynamical systems, as they are formed by individual geometrical components, namely the neurons. In the existing literature, relatively little attention has been given to the influence of…

Neurons and Cognition · Quantitative Biology 2015-05-13 Sebastian Ahnert , Luciano da Fontoura Costa